Pith Number

pith:Q65BFMAJ

pith:2013:Q65BFMAJSQUBUPDWREASGTTBDC

not attested not anchored not stored refs pending

A probabilistic approach for enumeration of certain Young tableaux

Ping Sun

arxiv:1302.0628 v1 · 2013-02-04 · math.CO · math.CA · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q65BFMAJSQUBUPDWREASGTTBDC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:34:36.691661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ba12b00994281a3c768901234e61188ea7864124807cf0adaf734f8c67fa28

Aliases

arxiv: 1302.0628 · arxiv_version: 1302.0628v1 · doi: 10.48550/arxiv.1302.0628 · pith_short_12: Q65BFMAJSQUB · pith_short_16: Q65BFMAJSQUBUPDW · pith_short_8: Q65BFMAJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q65BFMAJSQUBUPDWREASGTTBDC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 87ba12b00994281a3c768901234e61188ea7864124807cf0adaf734f8c67fa28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb422bd26f92efea9662338826a5b543862de953849fbdbf9fe47b923d5d7d4b",
    "cross_cats_sorted": [
      "math.CA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-04T09:53:31Z",
    "title_canon_sha256": "0bfd9ae0eafd02719ecce287c9c3c12fe5c9e36e9fe09ca732324cf3a573147a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0628",
    "kind": "arxiv",
    "version": 1
  }
}